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Finding the Fourth Proportional to 20,295.50, 30,443.31 and 7,983.50

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Solution

The fourth proportional to 20,295.50, 30,443.31 and 7,983.50 is: 11,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.50 : 30,443.31 = 7,983.50 : x
  2. Step 2: Convert to fraction form
    20,295.50/30,443.31 = 7,983.50/x
  3. Step 3: Cross multiply
    20,295.50x = 30,443.31 × 7,983.50
  4. Step 4: Simplify right side
    20,295.50x = 243,044,165.39
  5. Step 5: Solve for x
    x = 243,044,165.39/20,295.50
  6. Step 6: Final answer
    x = 11,975.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.